Physics Waves BUMHS 2024
PMDC Verified Question 27 of 125
The potential energy due to gravitational field near the surface of the Earth at a height h is given by
A
mg/h
B
mgh
C
mh/g
D
gh/m
Tap any option to test your recall and reveal the step-by-step Propolis autopsy.

Propolis Cognitive Error Autopsy

Official Correct Choice:
Option B: mgh
Concept:

Gravitational Potential Energy (GPE) is the energy an object possesses due to its vertical position within a gravitational field.

Formula:

$$ W = Fd \implies GPE = mgh $$

Solution:

  • Near the Earth's surface, the force of gravity pulling down on an object is its weight: \( F = mg \) (mass \( \times \) gravitational acceleration).


  • The work done against gravity to lift this mass to a vertical height (\( h \)) is stored entirely as potential energy.


  • Since Work = Force \( \times \) Distance, the equation directly translates to \( GPE = (mg) \times (h) = \) mgh.


Why other options are incorrect:

Options A, C, and D are dimensionally incorrect physics formulas that misplace variables as divisors rather than multipliers.

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